You need to execute the query, fetch the result and extract the field you want into a variable. Do you mean that you want the whole "news_headline" column for the result set?
Using MySQL:
$headlines = array();
$query = "SELECT newsID, news_headline, news_date FROM news ORDER BY news_date";
mysql_query($query);
while ($row = mysql_fetch_assoc($query)
$headlines[] = $row["news_headline"];
If you just want the one result:
$query = "SELECT newsID, news_headline, news_date FROM news ORDER BY news_date";
mysql_query($query);
$row = mysql_fetch_assoc($query);
$headline1 = $row["news_headline"];